Open access peer-reviewed Edited Volume

Differential Equations

Theory and Current Research

Edited by Terry E. Moschandreou

London International Academy

The editor has incorporated contributions from a diverse group of leading researchers in the field of differential equations. This book aims to provide an overview of the current knowledge in the field of differential equations. The main subject areas are divided into general theory and applications. These include fixed point approach to solution existence of differential equations, existence theory of differential equations of arbitrary order, topological methods in the theory of ordinary differential equations, impulsive fractional differential equations with finite delay and integral boundary conditions, an extension of Massera's theorem for n-dimensional stochastic differential equations, phase portraits of cubic dynamic systems in a Poincare circle, differential equations arising from the three-variable Hermite polynomials and computation of their zeros and reproducing kernel method for differential equations. Applications include local discontinuous Galerkin method for nonlinear Ginzburg-Landau equation, general function method in transport boundary value problems of theory of elasticity and solution of nonlinear partial differential equations by new Laplace variational iteration method. Existence/uniqueness theory of differential equations is presented in this book with applications that will be of benefit to mathematicians, applied mathematicians and researchers in the field. The book is written primarily for those who have some knowledge of differential equations and mathematical analysis. The authors of each section bring a strong emphasis on theoretical foundations to the book.

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Differential EquationsTheory and Current ResearchEdited by Terry E. Moschandreou

Published: May 23rd 2018

DOI: 10.5772/intechopen.71745

ISBN: 978-1-78923-157-1

Print ISBN: 978-1-78923-156-4

Copyright year: 2018

Books open for chapter submissions

2177 Total Chapter Downloads

1 Crossref Citations

3 Dimensions Citations

chaptersDownloads

Open access peer-reviewed

1. Fixed Point Theory Approach to Existence of Solutions with Differential Equations

By Piyachat Borisut, Konrawut Khammahawong and Poom Kumam

405

Open access peer-reviewed

2. Existence Theory of Differential Equations of Arbitrary Order

By Kamal Shah and Yongjin Li

221

Open access peer-reviewed

3. An Extension of Massera’s Theorem for N-Dimensional Stochastic Differential Equations

By Boudref Mohamed Ahmed, Berboucha Ahmed and Osmanov Hamid Ibrahim Ouglu

183

Open access peer-reviewed

4. Phase Portraits of Cubic Dynamic Systems in a Poincare Circle

By Irina Andreeva and Alexey Andreev

201

Open access peer-reviewed

5. Differential Equations Arising from the 3-Variable Hermite Polynomials and Computation of Their Zeros

By Cheon Seoung Ryoo

201

Open access peer-reviewed

6. Reproducing Kernel Functions

By Ali Akgül and Esra Karatas Akgül

205

Open access peer-reviewed

7. Local Discontinuous Galerkin Method for Nonlinear Ginzburg- Landau Equation

By Tarek Aboelenen

217

Open access peer-reviewed

8. General Functions Method in Transport Boundary Value Problems of Elasticity Theory

By Lyudmila Alexeyeva

198

Open access peer-reviewed

9. Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method

By Tarig M. Elzaki

346

Edited Volume and chapters are indexed in

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  • AZ ebsco
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  • CNKI
  • IET Inspec

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